Answer:
F
Step-by-step explanation:
because its linear
Which of the following is a root of the polynomial shown below? f(x)=x^3+2x^2-x-2
Answer:
b. if it's on .edu.com sorry if it's wrong
Answer:
Step-by-step explanation:
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 3%. The first credit card compounds interest semi-annually, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the semi-annually compounded interest. Show all work and round your answer to the nearest hundredth.
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth.
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences.
The total interest paid on each loan is different by about $34.75.
To calculate the total value of the loan with different compounding frequencies, we can use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)\)
Where:
A = Total value of the loan (including principal and interest)
P = Principal amount (initial loan)
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Number of years
Part A: Semi-annually compounded interest,
Given:
Principal amount (P) = $20,000
Annual interest rate (r) = 3% = 0.03
Number of times compounded per year (n) = 2 (semi-annually)
Number of years (t) = 10
Using the formula, we can calculate the total value of the loan:
\(A = 20000(1 + 0.03/2)^{(2\times10)\)
\(A = 20000(1.015)^{20\)
A ≈ 20000(1.34812141)
A ≈ $26,962.43
Therefore, the total value of the loan with semi-annually compounded interest is approximately $26,962.43.
Part B: Monthly compounded interest
Given:
Principal amount (P) = $20,000
Annual interest rate (r) = 3% = 0.03
Number of times compounded per year (n) = 12 (monthly)
Number of years (t) = 10
Using the formula, we can calculate the total value of the loan:
\(A = 20000(1 + 0.03/12)^{(12\times10)\)
\(A = 20000(1.0025)^{120\)
A ≈ 20000(1.34985881)
A ≈ $26,997.18
Therefore, the total value of the loan with monthly compounded interest is approximately $26,997.18.
Part C: Difference in total interest accrued =
To find the difference in total interest accrued, we subtract the principal amount from the total value of the loan for each case:
For semi-annually compounded interest:
Total interest accrued = Total value of the loan - Principal amount
Total interest accrued = $26,962.43 - $20,000
Total interest accrued ≈ $6,962.43
For monthly compounded interest:
Total interest accrued = Total value of the loan - Principal amount
Total interest accrued = $26,997.18 - $20,000
Total interest accrued ≈ $6,997.18
The difference between the total interest accrued on each loan is approximately $34.75 ($6,997.18 - $6,962.43).
The loan with monthly compounded interest accrues slightly more interest over the 10-year period compared to the loan with semi-annually compounded interest.
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Julie can type 50 words in 2 minutes.
Debbie can type 300 words in 15 minutes.
Calculate the typing speed of each of the girls in:
(a) words per minute,
(b) words per hour.
The equations are
a) Julie can type 25 words in 1 minute and Debbie can type 20 words in 1 minute
b) Julie can type 1500 words in 1 hour and Debbie can type 1200 words in 1 hour
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of words typed by Julie be = J
Let the number of words typed by Debbie be = D
a)
Now ,
Julie can type 50 words in 2 minutes
So , the number of words Julie can type in 1 minute = 50 / 2
Number of words Julie can type in 1 minute = 25 words
And ,
Debbie can type 300 words in 15 minutes
So , the number of words Debbie can type in 1 minute = 300 / 15
Number of words Debbie can type in 1 minute = 20 words
b)
1 hour = 60 minutes
The number words Julie can type in 1 hour = Number of words Julie can type in 1 minute x 60
Substituting the values in the equation , we get
The number words Julie can type in 1 hour = 25 x 60
The number words Julie can type in 1 hour = 1500 words
And ,
The number words Debbie can type in 1 hour = Number of words Debbie can type in 1 minute x 60
Substituting the values in the equation , we get
The number words Debbie can type in 1 hour = 20 x 60
The number words Debbie can type in 1 hour = 1200 words
Hence , the number of words per hour for Julie and Debbie are 1500 and 1200 respectively
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Please help I’ll mark brainliest
A package of 8 batteries costs 4.72. What is the cost per battery
Answer:
the price of one battery is 50 cents plus tax
Step-by-step explanation:
the price of one battery is 50 cents because if you count by 50s its 4 dollars and then plus tax it would be around 4.72.
Estimate the area of a picture measuring 3 1/7 feet by 8 1/9 feet
Answer: \(25 \frac{31}{63}\)
Step-by-step explanation:
The picture in this scenario is simply a rectangle. The area of a rectangle is length * width. Thus, simply multiply the two provided values.
3 1/7 = 22 / 7
8 1/9 = 73 / 9
\(\frac{22}{7} *\frac{73}{9} = \frac{1606}{63}\)
1606/63 = 25 31/63
Hope it helps and let me know if you want me to elaborate :)
Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be twelve years more than the sum of the ages of his son and daughter. Find their present ages.
Answer:
Onyango is 48, his daughter is 16 and his son is 12
Step-by-step explanation:
Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:
x + 8 = 12 + (1/3x + 8 + 1/4x + 8)
x + 8 = 7/12x + 28
5/12x = 20
x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12
the ratio of children to adults on a school trip is initially 10:1 this does not meet government regulations, so 5 more children and 5 more adults join the trip so that the ratio is now 9:1 how many children are there now
The number of children are there in the given scenario are 400.
Given that, the ratio of children to adults on a school trip is initially 10:1.
Here, the given ratio can be written as 10x:1x
5 more children and 5 more adults join the trip so that the ratio is now 9:1
10x+5:1x+5
The new ratio is (10x+5)/(x+5) = 9/1
10x+5=9(x+5)
10x+5=9x+45
10x-9x=45-5
x=40
So, the number of children =10x=400
Therefore, the number of children are there in the given scenario are 400.
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I need this done thanks!
Step-by-step explanation:
Median= n+1/2 ( if n is even )
So,
10+1/2=11/2=5.5
Therefore,
135 is your second answer
Spread of the data = in the above mentioned picture the wave given to find the spread of the data
Hope it helps
Determine whether the binomial (x-4) is a factor of the polynomial p(x) = 5x³ - 20x² - 5x+ 20-
Step-by-step explanation:
IF x-4 is a factor, then putting in x = + 4 will make the polynomial = 0
5 ( 4^3) - 20 (4^2) - 5(4) + 20 = 0 Yes...it is a factor
\(x - 4 = 0 \\ x = 4 \\ \)
substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function
\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)
so (x-4) is a factor for the function
In a study of the accuracy of fast food? drive-through orders, Restaurant A had 239 accurate orders and 70 that were not accurate.
a. Construct a 95?% confidence interval estimate of the percentage of orders that are not accurate
The 95% confidence interval estimate of the percentage of orders that are not accurate is approximately (17.37%, 27.83%)
Let's denote p as the proportion of orders that are not accurate.
The sample proportion of orders that are not accurate is given by:
p(bar) = 70 / (239 + 70)
= 70 / 309
≈ 0.226
The standard error of the proportion is calculated as:
SE = √[(p(bar)(1 - p(bar))) / n]
= √[(0.226(1 - 0.226)) / 309]
≈ √(0.1785 / 309)
≈ 0.0267
To find the margin of error, we need to multiply the standard error by the critical value corresponding to a 95% confidence level. For a 95% confidence level, the critical value is approximately 1.96.
Margin of error = 1.96 × SE
≈ 1.96 × 0.0267
≈ 0.0523
Now we can construct the confidence interval:
Lower limit = p(bar) - Margin of error
= 0.226 - 0.0523
≈ 0.1737
Upper limit = p(bar) + Margin of error
= 0.226 + 0.0523
≈ 0.2783
Therefore, the 95% confidence interval estimate of the percentage of orders that are not accurate is approximately (17.37%, 27.83%).
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Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball
If m pls help!!!!!11
Answer:
∠ B = 128°
Step-by-step explanation:
ABCD is a cyclic quadrilateral
the opposite angles are supplementary, sum to 180° , that is
∠ B + ∠ D = 180°
∠ B + 52° = 180° ( subtract 52° from both sides )
∠ B = 128°
A circle with a diameter of 34 inches is shown.
circle with diameter of 34 inches
What is the area of the circle using π = 3.14?
53.38 in2
106.76 in2
907.46 in2
3,629.84 in2
Answer:
907.46 inch^2
Step-by-step explanation:
34÷2=17 which is the radius
17^2=289
289×3.14=907.46inch^2
Based on the above, the area of the circle, using π = 3.14, is about 907.46 square inches. The correct option is C: 907.46 in².
What is the circleThe area of a circle can be calculated using the formula:
A = πr²,
where
A is the area
r is the radius of the circle.
Given that the diameter of the circle is 34 inches, one can find the radius by dividing the diameter by 2.
Radius (r) = Diameter / 2 = 34 inches / 2 = 17 inches
Now one can calculate the area using the formula:
A = πr^2 = 3.14 * (17 inches)^2 ≈ 907.46 square inches
Therefore, the area of the circle, using π = 3.14, is about 907.46 square inches. The correct option is C: 907.46 in².
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a doctor at a local hospital is interested in estimating the birth weight of infants. how large (at least) a sample must she select if she desires to be 95% confident that her estimate is within 2 ounces of the true mean? assume that a sample standard deviation is 7 ounces based on earlier studies.
A sample must she select if she desires to be 95% confident that her estimate is within 2 ounces of the true mean is 21.
\(n = [z*s/E]^2\\n = [1.96*7/3]^2 = 21\) when rounded up
Ounces are a unit of measurement commonly used to measure weight or volume. There are two main types of ounces: avoirdupois ounces and fluid ounces. Avoirdupois ounces are used to measure the weight of solid objects and are part of the Imperial system of units. One avoirdupois ounce is equal to 28.35 grams or 1/16th of a pound. This type of ounce is commonly used to measure the weight of food, jewelry, and other small objects.
Fluid ounces are used to measure the volume of liquids and are also part of the Imperial system. One fluid ounce is equal to 1/128th of a gallon or 29.57 milliliters. This type of ounce is commonly used to measure the volume of drinks, medication, and cooking ingredients.
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–42t + 80t + –59t − –97 = –29
Answer:
The answer is t= -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hoped this helped!
Could I perhaps get brainly, please?
mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*
The stretch of an exponential decay function is y = 2(1/5)ˣ
Which is a stretch of an exponential decay function?From the question, we have the following parameters that can be used in our computation:
The list of exponential functions
An exponential function is represented as
y = abˣ
Where
a = initial valueb = growth/decay factorIn this case, the exponential function is a decay function
This means that
The value of b is less than 1
An example of this is, from the list of option is
y = 2(1/5)ˣ
Hence, the exponential decay function is y = 2(1/5)ˣ
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Complete question
Which is a stretch of an exponential decay function?
Of(x) = -(5)ˣ
Of(x) = 5(2)ˣ
O fix) = 2(1/5)ˣ
if you have a logical statement in five variables how many rows do you need in the truth table that you would use to evaluate it? answer with an integer.
p → (q → r) is logically equivalent to (p →q) → r
True or False
We need 32 rows in the truth table that would use to evaluate a logical statement in five variables.
It is TRUE.
Now, According to the question:
A truth table provides a method for mapping out the possible truth values in an expression and to determine their outcomes. The table includes a column for each variable in the expression and a row for each possible combination of truth values.
A truth table has one column for each input variable (for example, P and Q), and one final column showing all of the possible results of the logical operation that the table represents (for example, P XOR Q).
The formula to calculate the number of rows is equal to 2ⁿ, where n is the number of basic statement letters involved.
Number of rows = 2ⁿ
If the number of variables in a truth table is 5, then the number of rows = 2⁵
2⁵ = 2×2× 2× 2× 2
= 32
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What is the perimeter of △XYZ?
perimeter=
Step-by-step explanation:
(5+6+7)*2 = 36 correct answer
Answer:
36
Step-by-step explanation:
What is the slope of y=-4x-3y?
Answer:
m= -1
Use: y = mx + b
Who ever helps me with all theses you will get 50 points
Answer:
All is correct what do you want us to do again
Step-by-step explanation:
Answer:
There already correct!
Step-by-step explanation:
And it doesn't give 50points it only gave 20points!!!!
I would answer it but you cant even see the picture of the questions......
0.7x-y=5.16 and 2-0.8x=0.4y round to the nearest hundredth? does anyone know this answer?
Step-by-step explanation:
What is the question? You have not stated the question.
Please help with math! I'm getting pretty confused about solving each system of equations by graphing. Any answers to this?
y = x + 3 , y = 4x - 3
Answer: x= 2, y= 5
Step-by-step explanation:
HELP PLEASEEEE look at image Decide if the function is discrete or continuous. Then identify its Domain and Range.
у
X
Answer:
discreet
Step-by-step explanation:
If a function is discrete, it does not include all of the values between two given numbers, but rather only specific values in a particular range
\(3x+9+2x=x-2x-3\)
Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
−5x−4y=−8minus, 5, x, minus, 4, y, equals, minus, 8
Write a formula for
f
(
x
)
f(x)f, left parenthesis, x, right parenthesis in terms of
x
xx.
Answer:
\(f(x)=\frac{-5}{4} x+2\)
Unit 3: Functions& Linear Equations Homework 1: Relations & Functions Name: Date: Bell: This is a 2-page document! Find the domain and range, then represent as a table, mapping, and graph. Domain Range 2. {(-3,-4), (-1, 2), (0,0), (-3, 5), (2, 4» Domain Range - Determine the domain and range of the following continuous graphs 3. 4. Domain = Range = 5. Domain Range 6. Domain - Domain - Range - Range = Gina Wlson (AlI Things Aigebral 2
The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
What is the domain and range?
The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.
The range of a function refers to the set of all possible output values, or y-values.
To find the domain and range of functions and represent them in different formats.
To find the domain and range of a function:
The domain refers to the set of all possible input values (x-values) for the function.
The range refers to the set of all possible output values (y-values) for the function.
To represent the function as a table, you would list the input-output pairs. For example:
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
To represent the function as a mapping, you would indicate the correspondence between the input and output values.
For example:
-3 -> -4
-1 -> 2
0 -> 0
-3 -> 5
2 -> 4
To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.
The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.
Hence, The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
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School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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How do you dilate a triangle by 2?
Step-by-step explanation:
To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.
at what point (x,y) is the function f(x)=6−7x closest to the point (−10,−4)? enter an exact answer.
The exact solution of this equation involves solving a quadratic equation, which may not result in a simple integer value for x.
To find the point (x, y) on the function f(x) = 6 - 7x that is closest to the point (-10, -4), we need to minimize the distance between the two points.
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we want to minimize the distance between the point (-10, -4) and any point on the function f(x) = 6 - 7x. So we can set up the distance equation:
d = sqrt((-10 - x)^2 + (-4 - (6 - 7x))^2)
To find the point (x, y) that minimizes the distance, we can find the value of x that minimizes the distance equation. Let's differentiate the distance equation with respect to x and set it equal to zero to find the critical point:
d' = 0
Differentiating and simplifying the equation, we get:
(-10 - x) + (-4 - (6 - 7x))(-7) = 0
Solving this equation will give us the value of x at the closest point. Plugging this x-value into the function f(x) = 6 - 7x will give us the corresponding y-value.
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